Quinoa all test code coverage report
Current view: top level - IO - PDFWriter.cpp (source / functions) Hit Total Coverage
Commit: -128-NOTFOUND Lines: 44 647 6.8 %
Date: 2024-04-29 14:42:33 Functions: 3 16 18.8 %
Legend: Lines: hit not hit | Branches: + taken - not taken # not executed Branches: 38 1484 2.6 %

           Branch data     Line data    Source code
       1                 :            : // *****************************************************************************
       2                 :            : /*!
       3                 :            :   \file      src/IO/PDFWriter.cpp
       4                 :            :   \copyright 2012-2015 J. Bakosi,
       5                 :            :              2016-2018 Los Alamos National Security, LLC.,
       6                 :            :              2019-2021 Triad National Security, LLC.
       7                 :            :              All rights reserved. See the LICENSE file for details.
       8                 :            :   \brief     Univariate PDF writer
       9                 :            :   \brief     PDF writer class definition
      10                 :            :   \details   This file defines a PDF writer class that facilitates outputing
      11                 :            :     probability density functions (PDFs) into files in various formats using
      12                 :            :     various configurations.
      13                 :            : */
      14                 :            : // *****************************************************************************
      15                 :            : 
      16                 :            : #include <iomanip>
      17                 :            : 
      18                 :            : #include "NoWarning/exodusII.hpp"
      19                 :            : 
      20                 :            : #include "PDFWriter.hpp"
      21                 :            : #include "Exception.hpp"
      22                 :            : 
      23                 :            : using tk::PDFWriter;
      24                 :            : 
      25                 :        585 : PDFWriter::PDFWriter( const std::string& filename,
      26                 :            :                       ctr::TxtFloatFormatType format,
      27                 :        585 :                       std::streamsize precision ) :
      28                 :        585 :   Writer( filename )
      29                 :            : // *****************************************************************************
      30                 :            : //  Constructor
      31                 :            : //! \param[in] filename Output filename to which output the PDF
      32                 :            : //! \param[in] format Configure floating-point output format for ASCII output
      33                 :            : //! \param[in] precision Configure precision for floating-point ASCII output
      34                 :            : // *****************************************************************************
      35                 :            : {
      36                 :            :   // Set floating-point format for output file stream
      37         [ -  + ]:        585 :   if (format == ctr::TxtFloatFormatType::DEFAULT)
      38                 :            :     {} //m_outFile << std::defaultfloat;   GCC does not yet support this
      39         [ -  - ]:          0 :   else if (format == ctr::TxtFloatFormatType::FIXED)
      40                 :          0 :     m_outFile << std::fixed;
      41         [ -  - ]:          0 :   else if (format == ctr::TxtFloatFormatType::SCIENTIFIC)
      42                 :          0 :     m_outFile << std::scientific;
      43 [ -  - ][ -  - ]:          0 :   else Throw( "Text floating-point format not recognized." );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
      44                 :            : 
      45                 :            :   // Set numeric precision for output file stream if the input makes sense
      46         [ +  - ]:        585 :   if (precision > 0 && precision < std::numeric_limits< tk::real >::digits10+2)
      47                 :        585 :     m_outFile << std::setprecision( static_cast<int>(precision) );
      48                 :        585 : }
      49                 :            : 
      50                 :            : void
      51                 :        585 : PDFWriter::writeTxt( const UniPDF& pdf, const tk::ctr::PDFInfo& info ) const
      52                 :            : // *****************************************************************************
      53                 :            : //  Write out standardized univariate PDF to file
      54                 :            : //! \param[in] pdf Univariate PDF
      55                 :            : //! \param[in] info PDF metadata
      56                 :            : // *****************************************************************************
      57                 :            : {
      58                 :        585 :   const auto& name = info.name;
      59         [ +  - ]:        585 :   const auto& uext = info.exts;
      60                 :            :   const auto& vars = info.vars;
      61                 :            :   const auto& it = info.it;
      62                 :            :   const auto& time = info.time;
      63                 :            : 
      64                 :            :   assertSampleSpaceDimensions< 1 >( vars );
      65                 :            :   assertSampleSpaceExtents< 1 >( uext );
      66                 :            : 
      67                 :            :   // Query and optionally override number of bins and minimum of sample space if
      68                 :            :   // user-specified extents were given and copy probabilities from pdf to an
      69                 :            :   // array for output
      70                 :            :   std::size_t nbi;
      71                 :            :   tk::real min, max;
      72                 :            :   std::vector< tk::real > outpdf;
      73                 :            :   tk::real binsize;
      74                 :            :   std::array< long, 2*UniPDF::dim > ext;
      75         [ +  - ]:        585 :   extents( pdf, uext, nbi, min, max, binsize, ext, outpdf );
      76                 :            : 
      77                 :            :   // Output header
      78                 :            :   m_outFile << "# vim: filetype=sh:\n#\n"
      79                 :        585 :             << "# Univariate PDF: " << name << '(' << vars[0] << ')' << '\n'
      80                 :            :             << "# -----------------------------------------------\n"
      81 [ +  - ][ +  - ]:       2340 :             << "# Numeric precision: " << m_outFile.precision() << '\n'
         [ +  - ][ +  - ]
                 [ +  - ]
      82         [ +  - ]:        585 :             << "# Bin size: " << binsize << '\n'
      83 [ +  - ][ +  - ]:       1170 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1
                 [ +  - ]
      84                 :            :             << '\n'
      85         [ +  - ]:        585 :             << "# Number of bins output: " << nbi << '\n'
      86 [ +  - ][ +  - ]:       1170 :             << "# Sample space extent: [" << min << " : " << max << "]\n"
                 [ +  - ]
      87         [ +  - ]:        585 :             << "# Integral: " << pdf.integral() << "\n"
      88         [ +  - ]:        585 :             << "# Iteration: " << it << "\n"
      89         [ +  - ]:        585 :             << "# Physical time: " << time << "\n#\n"
      90                 :            :             << "# Example step-by-step visualization with gnuplot\n"
      91                 :            :             << "# -----------------------------------------------\n"
      92                 :            :             << "# gnuplot> set grid\n"
      93                 :            :             << "# gnuplot> unset key\n"
      94         [ +  - ]:        585 :             << "# gnuplot> set xlabel \"" << vars[0] << "\"\n"
      95         [ +  - ]:        585 :             << "# gnuplot> set ylabel \"" << name << "(" << vars[0] << ")\"\n"
      96         [ +  - ]:        585 :             << "# gnuplot> plot ";
      97 [ -  + ][ -  - ]:        585 :   if (!uext.empty()) m_outFile << "[" << uext[0] << ':' << uext[1] << "] ";
         [ -  - ][ -  - ]
      98                 :            :   m_outFile << "\"" << m_filename << "\" with points\n#\n"
      99                 :            :             << "# Gnuplot one-liner for quick copy-paste\n"
     100                 :            :             << "# -----------------------------------------------\n"
     101         [ +  - ]:        585 :             << "# set grid; unset key; set xlabel \"" << vars[0]
     102         [ +  - ]:        585 :             << "\"; set ylabel \"" << name << "(" << vars[0]
     103         [ +  - ]:        585 :             << ")\"; plot";
     104 [ -  + ][ -  - ]:        585 :   if (!uext.empty()) m_outFile << " [" << uext[0] << ':' << uext[1] << "]";
         [ -  - ][ -  - ]
     105                 :            :   m_outFile << " \"" << m_filename << "\" w p\n#\n"
     106 [ +  - ][ +  - ]:       1170 :             << "# Data columns: " << vars[0] << ", " << name << "(" << vars[0]
     107         [ +  - ]:        585 :             << ")\n# -----------------------------------------------\n";
     108                 :            : 
     109                 :            :   // If no user-specified sample space extents, output pdf map directly
     110         [ +  - ]:        585 :   if (uext.empty()) {
     111         [ +  + ]:     129336 :     for (const auto& p : pdf.map())
     112         [ +  - ]:     128751 :       m_outFile << binsize * static_cast<tk::real>(p.first) << '\t'
     113                 :     128751 :                 << static_cast<tk::real>(p.second) / binsize /
     114         [ +  - ]:     128751 :                    static_cast<tk::real>(pdf.nsample())
     115                 :            :                 << std::endl;
     116                 :            :   } else { // If user-specified sample space extents, output outpdf array
     117                 :            :     std::size_t bin = 0;
     118         [ -  - ]:          0 :     for (const auto& p : outpdf)
     119         [ -  - ]:          0 :       m_outFile << binsize * static_cast<tk::real>(bin++) + uext[0] << '\t'
     120         [ -  - ]:          0 :                 << p << std::endl;
     121                 :            :   }
     122                 :        585 : }
     123                 :            : 
     124                 :            : void
     125                 :          0 : PDFWriter::writeTxt( const BiPDF& pdf, const tk::ctr::PDFInfo& info ) const
     126                 :            : // *****************************************************************************
     127                 :            : //  Write out standardized bivariate PDF to text file
     128                 :            : //! \param[in] pdf Bivariate PDF
     129                 :            : //! \param[in] info PDF metadata
     130                 :            : // *****************************************************************************
     131                 :            : {
     132                 :          0 :   const auto& name = info.name;
     133         [ -  - ]:          0 :   const auto& uext = info.exts;
     134                 :            :   const auto& vars = info.vars;
     135                 :            :   const auto& it = info.it;
     136                 :            :   const auto& time = info.time;
     137                 :            : 
     138                 :            :   assertSampleSpaceDimensions< 2 >( vars );
     139                 :            :   assertSampleSpaceExtents< 2 >( uext );
     140                 :            : 
     141                 :            :   // Query and optionally override number of bins and minima of sample space if
     142                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     143                 :            :   // logically 2D array for output
     144                 :            :   std::size_t nbix, nbiy;
     145                 :            :   tk::real xmin, xmax, ymin, ymax;
     146                 :            :   std::vector< tk::real > outpdf;
     147                 :            :   std::array< tk::real, 2 > binsize;
     148                 :            :   std::array< long, 2*BiPDF::dim > ext;
     149         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, xmin, xmax, ymin, ymax, binsize, ext, outpdf,
     150                 :            :            ctr::PDFCenteringType::ELEM );
     151                 :            : 
     152                 :            :   // Output metadata
     153                 :            :   m_outFile << "# vim: filetype=sh:\n#\n"
     154                 :          0 :             << "# Joint bivariate PDF: " << name << '(' << vars[0] << ','
     155                 :          0 :             << vars[1] << ")\n"
     156                 :            :             << "# -----------------------------------------------\n"
     157 [ -  - ][ -  - ]:          0 :             << "# Numeric precision: " << m_outFile.precision() << '\n'
         [ -  - ][ -  - ]
     158 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << '\n'
                 [ -  - ]
     159 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     160         [ -  - ]:          0 :             << ext[3] - ext[2] + 1 << '\n'
     161 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << '\n'
     162 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax
                 [ -  - ]
     163 [ -  - ][ -  - ]:          0 :             << "], [" << ymin << " : " << ymax << "]\n"
     164 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     165         [ -  - ]:          0 :             << "# Physical time: " << time << "\n#\n"
     166                 :            :             << "# Example step-by-step visualization with gnuplot\n"
     167                 :            :             << "# -----------------------------------------------\n"
     168                 :            :             << "# gnuplot> set grid\n"
     169                 :            :             << "# gnuplot> unset key\n"
     170         [ -  - ]:          0 :             << "# gnuplot> set xlabel \"" << vars[0] << "\"\n"
     171         [ -  - ]:          0 :             << "# gnuplot> set ylabel \"" << vars[1] << "\"\n"
     172         [ -  - ]:          0 :             << "# gnuplot> set zlabel \"" << name << "(" << vars[0] << ","
     173         [ -  - ]:          0 :             << vars[1] << ")\"\n"
     174                 :            :             << "# gnuplot> set dgrid3d 50,50,1\n"
     175                 :            :             << "# gnuplot> set cntrparam levels 20\n"
     176         [ -  - ]:          0 :             << "# gnuplot> set contour\n";
     177         [ -  - ]:          0 :   if (!uext.empty())
     178 [ -  - ][ -  - ]:          0 :     m_outFile << "# gnuplot> set xrange [" << uext[0] << ':' << uext[1] << "]\n"
     179 [ -  - ][ -  - ]:          0 :               << "# gnuplot> set yrange [" << uext[2] << ':' << uext[3] << "]\n";
                 [ -  - ]
     180                 :            :          
     181                 :            :   m_outFile << "# gnuplot> splot \"" << m_filename << "\" with lines\n#\n"
     182                 :            :             << "# Gnuplot one-liner for quick copy-paste\n"
     183                 :            :             << "# --------------------------------------\n"
     184         [ -  - ]:          0 :             << "# set grid; unset key; set xlabel \"" << vars[0]
     185         [ -  - ]:          0 :             << "\"; set ylabel \"" << vars[1] << "\"; set zlabel \"" << name
     186         [ -  - ]:          0 :             << "(" << vars[0] << ',' << vars[1] << ")\"; set dgrid3d 50,50,1; "
     187 [ -  - ][ -  - ]:          0 :                "set cntrparam levels 20; set contour; ";
     188         [ -  - ]:          0 :   if (!uext.empty())
     189 [ -  - ][ -  - ]:          0 :     m_outFile << "set xrange [" << uext[0] << ':' << uext[1] << "]; set yrange "
     190 [ -  - ][ -  - ]:          0 :                  "[" << uext[2] << ':' << uext[3] << "]; ";
                 [ -  - ]
     191                 :            :   m_outFile << "splot \"" << m_filename << "\" w l\n#\n"
     192 [ -  - ][ -  - ]:          0 :             << "# Data columns: " << vars[0] << ", " << vars[1] << ", "
     193                 :          0 :             << name << '(' << vars[0] << ',' << vars[1] << ")\n"
     194 [ -  - ][ -  - ]:          0 :             << "# -----------------------------------------------\n";
                 [ -  - ]
     195                 :            : 
     196                 :            :   // If no user-specified sample space extents, output pdf map directly
     197         [ -  - ]:          0 :   if (uext.empty()) {
     198         [ -  - ]:          0 :     for (const auto& p : pdf.map())
     199         [ -  - ]:          0 :       m_outFile << binsize[0] * static_cast<tk::real>(p.first[0]) << '\t'
     200         [ -  - ]:          0 :                 << binsize[1] * static_cast<tk::real>(p.first[1]) << '\t'
     201                 :          0 :                 << p.second / binsize[0] / binsize[1] /
     202         [ -  - ]:          0 :                    static_cast<tk::real>(pdf.nsample())
     203                 :            :                 << std::endl;
     204                 :            :   } else { // If user-specified sample space extents, output outpdf array
     205                 :            :     std::size_t bin = 0;
     206         [ -  - ]:          0 :     for (const auto& p : outpdf) {
     207         [ -  - ]:          0 :       m_outFile << binsize[0] * static_cast<tk::real>(bin % nbix) + uext[0]
     208                 :          0 :                 << '\t'
     209         [ -  - ]:          0 :                 << binsize[1] * static_cast<tk::real>(bin / nbix) + uext[2]
     210                 :          0 :                 << '\t'
     211         [ -  - ]:          0 :                 << p
     212                 :            :                 << std::endl;
     213                 :          0 :       ++bin;
     214                 :            :     }
     215                 :            :   }
     216                 :            : 
     217 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     218                 :          0 : }
     219                 :            : 
     220                 :            : void
     221                 :          0 : PDFWriter::writeTxt( const TriPDF& pdf, const tk::ctr::PDFInfo& info ) const
     222                 :            : // *****************************************************************************
     223                 :            : //  Write out standardized trivariate PDF to text file
     224                 :            : //! \param[in] pdf Trivariate PDF
     225                 :            : //! \param[in] info PDF metadata
     226                 :            : // *****************************************************************************
     227                 :            : {
     228                 :          0 :   const auto& name = info.name;
     229         [ -  - ]:          0 :   const auto& uext = info.exts;
     230                 :            :   const auto& vars = info.vars;
     231                 :            :   const auto& it = info.it;
     232                 :            :   const auto& time = info.time;
     233                 :            : 
     234                 :            :   assertSampleSpaceDimensions< 3 >( vars );
     235                 :            :   assertSampleSpaceExtents< 3 >( uext );
     236                 :            : 
     237                 :            :   // Query and optionally override number of bins and minima of sample space if
     238                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     239                 :            :   // logically 3D array for output
     240                 :            :   std::size_t nbix, nbiy, nbiz;
     241                 :            :   tk::real xmin, xmax, ymin, ymax, zmin, zmax;
     242                 :            :   std::vector< tk::real > outpdf;
     243                 :            :   std::array< tk::real, 3 > binsize;
     244                 :            :   std::array< long, 2*TriPDF::dim > ext;
     245         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, nbiz, xmin, xmax, ymin, ymax, zmin, zmax,
     246                 :            :            binsize, ext, outpdf, ctr::PDFCenteringType::ELEM );
     247                 :            : 
     248                 :            :   // Output header
     249                 :            :   m_outFile << "# vim: filetype=sh:\n#\n"
     250                 :          0 :             << "# Joint trivariate PDF: " << name << '(' << vars[0] << ','
     251                 :          0 :             << vars[1] << ',' << vars[2] << ")\n"
     252                 :            :             << "# -----------------------------------------------\n"
     253 [ -  - ][ -  - ]:          0 :             << "# Numeric precision: " << m_outFile.precision() << '\n'
         [ -  - ][ -  - ]
                 [ -  - ]
     254 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << ", "
                 [ -  - ]
     255         [ -  - ]:          0 :             << binsize[2] << '\n'
     256 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     257 [ -  - ][ -  - ]:          0 :             << ext[3] - ext[2] + 1 << " x " << ext[5] - ext[4] + 1 << '\n'
     258 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << " x "
                 [ -  - ]
     259                 :            :             << nbiz << '\n'
     260 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax << "], ["
         [ -  - ][ -  - ]
     261 [ -  - ][ -  - ]:          0 :             << ymin << " : " << ymax << "], [" << zmin << " : " << zmax
                 [ -  - ]
     262                 :            :             << "]\n"
     263 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     264         [ -  - ]:          0 :             << "# Physical time: " << time << "\n#\n"
     265                 :            :             << "# Example step-by-step visualization with gnuplot\n"
     266                 :            :             << "# -----------------------------------------------\n"
     267                 :            :             << "# gnuplot> set grid\n"
     268         [ -  - ]:          0 :             << "# gnuplot> set xlabel \"" << vars[0] << "\"\n"
     269         [ -  - ]:          0 :             << "# gnuplot> set ylabel \"" << vars[1] << "\"\n"
     270 [ -  - ][ -  - ]:          0 :             << "# gnuplot> set zlabel \"" << vars[2] << "\"\n";
     271         [ -  - ]:          0 :   if (!uext.empty())
     272 [ -  - ][ -  - ]:          0 :     m_outFile << "# gnuplot> set xrange [" << uext[0] << ':' << uext[1] << "]\n"
     273 [ -  - ][ -  - ]:          0 :               << "# gnuplot> set yrange [" << uext[2] << ':' << uext[3] << "]\n"
     274 [ -  - ][ -  - ]:          0 :               << "# gnuplot> set zrange [" << uext[4] << ':' << uext[5] << "]\n";
                 [ -  - ]
     275                 :            :   m_outFile << "# gnuplot> splot \"" << m_filename << "\" pointtype 7 "
     276                 :          0 :                "linecolor palette title \"" << name << '(' << vars[0] << ','
     277                 :          0 :             << vars[1] << ',' << vars[2] << ")\"\n#\n"
     278                 :            :             << "# Gnuplot one-liner for quick copy-paste\n"
     279                 :            :             << "# --------------------------------------\n"
     280         [ -  - ]:          0 :             << "# set grid; set xlabel \"" << vars[0] << "\"; set ylabel \""
     281 [ -  - ][ -  - ]:          0 :             << vars[1] << "\"; set zlabel \"" << vars[2] << "\"; ";
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     282         [ -  - ]:          0 :   if (!uext.empty())
     283 [ -  - ][ -  - ]:          0 :     m_outFile << "set xrange [" << uext[0] << ':' << uext[1] << "]; set yrange "
     284 [ -  - ][ -  - ]:          0 :                  "[" << uext[2] << ':' << uext[3] << "]; set zrange ["
     285 [ -  - ][ -  - ]:          0 :               << uext[4] << ':' << uext[5] << "]; ";
                 [ -  - ]
     286                 :            :   m_outFile << "splot \"" << m_filename << "\" pt 7 linecolor palette title \""
     287                 :          0 :             << name << '(' << vars[0] << ',' << vars[1] << ',' << vars[2] << ')'
     288                 :            :             << "\"\n#\n"
     289 [ -  - ][ -  - ]:          0 :             << "# Data columns: " << vars[0] << ", " << vars[1] << ", "
     290         [ -  - ]:          0 :             << vars[2] << ", " << name << '(' << vars[0] << ',' << vars[1]
     291                 :          0 :             << ',' << vars[2] << ")\n"
     292 [ -  - ][ -  - ]:          0 :             << "# -----------------------------------------------\n";
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     293                 :            : 
     294                 :            :   // If no user-specified sample space extents, output pdf map directly
     295         [ -  - ]:          0 :   if (uext.empty()) {
     296         [ -  - ]:          0 :     for (const auto& p : pdf.map())
     297         [ -  - ]:          0 :       m_outFile << binsize[0] * static_cast<tk::real>(p.first[0]) << '\t'
     298         [ -  - ]:          0 :                 << binsize[1] * static_cast<tk::real>(p.first[1]) << '\t'
     299         [ -  - ]:          0 :                 << binsize[2] * static_cast<tk::real>(p.first[2]) << '\t'
     300                 :          0 :                 << p.second / binsize[0] / binsize[1] / binsize[2]
     301         [ -  - ]:          0 :                             / static_cast<tk::real>(pdf.nsample())
     302                 :            :                 << std::endl;
     303                 :            :   } else { // If user-specified sample space extents, output outpdf array
     304                 :            :     std::size_t bin = 0;
     305                 :          0 :     const auto n = nbix*nbiy;
     306         [ -  - ]:          0 :     for (const auto& p : outpdf) {
     307         [ -  - ]:          0 :       m_outFile << binsize[0] * static_cast<tk::real>(bin % n % nbix) + uext[0]
     308                 :          0 :                 << '\t'
     309         [ -  - ]:          0 :                 << binsize[1] * static_cast<tk::real>(bin % n / nbix) + uext[2]
     310                 :          0 :                 << '\t'
     311         [ -  - ]:          0 :                 << binsize[2] * static_cast<tk::real>(bin / n) + uext[4] << '\t'
     312         [ -  - ]:          0 :                 << p
     313                 :            :                 << std::endl;
     314                 :          0 :       ++bin;
     315                 :            :     }
     316                 :            :   }
     317                 :            : 
     318 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     319                 :          0 : }
     320                 :            : 
     321                 :            : void
     322                 :          0 : PDFWriter::writeGmshTxt( const BiPDF& pdf,
     323                 :            :                          const tk::ctr::PDFInfo& info,
     324                 :            :                          ctr::PDFCenteringType centering ) const
     325                 :            : // *****************************************************************************
     326                 :            : //  Write out standardized bivariate PDF to Gmsh (text) format
     327                 :            : //! \param[in] pdf Bivariate PDF
     328                 :            : //! \param[in] info PDF metadata
     329                 :            : //! \param[in] centering Bin centering on sample space mesh
     330                 :            : // *****************************************************************************
     331                 :            : {
     332                 :          0 :   const auto& name = info.name;
     333         [ -  - ]:          0 :   const auto& uext = info.exts;
     334                 :            :   const auto& vars = info.vars;
     335                 :            :   const auto& it = info.it;
     336                 :            :   const auto& time = info.time;
     337                 :            : 
     338                 :            :   assertSampleSpaceDimensions< 2 >( vars );
     339                 :            :   assertSampleSpaceExtents< 2 >( uext );
     340                 :            : 
     341                 :            :   // Query and optionally override number of bins and minima of sample space if
     342                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     343                 :            :   // logically 2D array for output
     344                 :            :   std::size_t nbix, nbiy;
     345                 :            :   tk::real xmin, xmax, ymin, ymax;
     346                 :            :   std::vector< tk::real > outpdf;
     347                 :            :   std::array< tk::real, 2 > binsize;
     348                 :            :   std::array< long, 2*BiPDF::dim > ext;
     349         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, xmin, xmax, ymin, ymax, binsize, ext, outpdf,
     350                 :            :            centering );
     351                 :            : 
     352                 :            :   // Output metadata. The #s are unnecessary, but vi will color it differently.
     353                 :            :   m_outFile << "$Comments\n"
     354                 :            :             << "# vim: filetype=sh:\n"
     355                 :          0 :             << "# Joint bivariate PDF: " << name << '(' << vars[0] << ','
     356                 :          0 :             << vars[1] << ")\n"
     357                 :            :             << "# -----------------------------------------------\n"
     358 [ -  - ][ -  - ]:          0 :             << "# Numeric precision: " << m_outFile.precision() << '\n'
         [ -  - ][ -  - ]
     359 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << '\n'
                 [ -  - ]
     360 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     361         [ -  - ]:          0 :             << ext[3] - ext[2] + 1 << '\n'
     362 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << '\n'
     363 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax
                 [ -  - ]
     364 [ -  - ][ -  - ]:          0 :             << "], [" << ymin << " : " << ymax << "]\n"
     365 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     366         [ -  - ]:          0 :             << "# Physical time: " << time << "\n"
     367         [ -  - ]:          0 :             << "$EndComments\n";
     368                 :            : 
     369                 :            :   // Output mesh header: mesh version, file type, data size
     370         [ -  - ]:          0 :   m_outFile << "$MeshFormat\n2.2 0 8\n$EndMeshFormat\n";
     371 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     372                 :            : 
     373                 :            :   // Output grid points of discretized sample space (2D Cartesian grid)
     374         [ -  - ]:          0 :   m_outFile << "$Nodes\n" << (nbix+1)*(nbiy+1) << std::endl;
     375                 :            :   int k=0;
     376         [ -  - ]:          0 :   for (std::size_t i=0; i<=nbiy; i++) {
     377                 :          0 :     tk::real I = static_cast< tk::real >( i );
     378                 :          0 :     tk::real y = ymin + I*binsize[1];
     379         [ -  - ]:          0 :     for (std::size_t j=0; j<=nbix; j++) {
     380                 :          0 :       tk::real J = static_cast< tk::real >( j );
     381                 :          0 :       tk::real x = xmin + J*binsize[0];
     382 [ -  - ][ -  - ]:          0 :       m_outFile << ++k << ' ' << x << ' ' << y << " 0\n";
         [ -  - ][ -  - ]
     383                 :            :     }
     384                 :            :   }
     385         [ -  - ]:          0 :   m_outFile << "$EndNodes\n";
     386                 :            : 
     387                 :            :   // Output elements of discretized sample space (2D Cartesian grid)
     388 [ -  - ][ -  - ]:          0 :   m_outFile << "$Elements\n" << nbix*nbiy << "\n";
     389         [ -  - ]:          0 :   for (std::size_t i=0; i<nbix*nbiy; ++i) {
     390                 :          0 :     const auto y = i/nbix;
     391 [ -  - ][ -  - ]:          0 :     m_outFile << i+1 << " 3 2 1 1 " << i+y+1 << ' ' << i+y+2 << ' '
                 [ -  - ]
     392 [ -  - ][ -  - ]:          0 :               << i+y+nbix+3 << ' ' << i+y+nbix+2 << std::endl;
     393                 :            :   }
     394         [ -  - ]:          0 :   m_outFile << "$EndElements\n";
     395                 :            : 
     396                 :            :   // Output PDF function values in element or node centers
     397 [ -  - ][ -  - ]:          0 :   std::string c( "Element" );
     398         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
     399         [ -  - ]:          0 :     ++nbix; ++nbiy;
     400                 :            :     c = "Node";
     401                 :            :   }
     402         [ -  - ]:          0 :   m_outFile << '$' << c << "Data\n1\n\"" << name << "\"\n1\n0.0\n3\n0\n1\n"
     403 [ -  - ][ -  - ]:          0 :             << nbix*nbiy << "\n";
     404                 :            : 
     405                 :            :   // If no user-specified sample space extents, output pdf map directly
     406         [ -  - ]:          0 :   if (uext.empty()) {
     407                 :            : 
     408 [ -  - ][ -  - ]:          0 :     std::vector< int > out( nbix*nbiy, 0 ); // indicate bins filled (1)
     409         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
     410                 :          0 :       const auto bin = (p.first[1] - ext[2]) * static_cast<long>(nbix) +
     411                 :          0 :                        (p.first[0] - ext[0]) % static_cast<long>(nbix);
     412                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeGmshTxt()." );
     413                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy,
     414                 :            :               "Bin overflow in PDFWriter::writeGmshTxt()." );
     415         [ -  - ]:          0 :       out[ static_cast<std::size_t>(bin) ] = 1;
     416         [ -  - ]:          0 :       m_outFile << bin+1 << '\t'
     417                 :          0 :                 << p.second / binsize[0] / binsize[1]
     418         [ -  - ]:          0 :                             / static_cast<tk::real>(pdf.nsample())
     419                 :            :                 << std::endl;
     420                 :            :     }
     421                 :            :     // Output bins nonexistent in PDF (gmsh sometimes fails to plot the exiting
     422                 :            :     // bins if holes exist in the data, it also looks better as zero than holes)
     423         [ -  - ]:          0 :     for (std::size_t i=0; i<out.size(); ++i)
     424 [ -  - ][ -  - ]:          0 :       if (out[i] == 0) m_outFile << i+1 << "\t0" << std::endl;
     425                 :            : 
     426                 :            :   } else { // If user-specified sample space extents, output outpdf array
     427                 :            : 
     428                 :            :     std::size_t bin = 0;
     429 [ -  - ][ -  - ]:          0 :     for (const auto& p : outpdf) m_outFile << ++bin << ' ' << p << std::endl;
                 [ -  - ]
     430                 :            : 
     431                 :            :   }
     432                 :            : 
     433         [ -  - ]:          0 :   m_outFile << "$End" << c << "Data\n";
     434                 :            : 
     435 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     436                 :          0 : }
     437                 :            : 
     438                 :            : void
     439                 :          0 : PDFWriter::writeGmshTxt( const TriPDF& pdf,
     440                 :            :                          const tk::ctr::PDFInfo& info,
     441                 :            :                          ctr::PDFCenteringType centering ) const
     442                 :            : // *****************************************************************************
     443                 :            : //  Write out standardized trivariate PDF to Gmsh (text) format
     444                 :            : //! \param[in] pdf Trivariate PDF
     445                 :            : //! \param[in] info PDF metadata
     446                 :            : //! \param[in] centering Bin centering on sample space mesh
     447                 :            : // *****************************************************************************
     448                 :            : {
     449                 :          0 :   const auto& name = info.name;
     450         [ -  - ]:          0 :   const auto& uext = info.exts;
     451                 :            :   const auto& vars = info.vars;
     452                 :            :   const auto& it = info.it;
     453                 :            :   const auto& time = info.time;
     454                 :            : 
     455                 :            :   assertSampleSpaceDimensions< 3 >( vars );
     456                 :            :   assertSampleSpaceExtents< 3 >( uext );
     457                 :            : 
     458                 :            :   // Query and optionally override number of bins and minima of sample space if
     459                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     460                 :            :   // logically 3D array for output
     461                 :            :   std::size_t nbix, nbiy, nbiz;
     462                 :            :   tk::real xmin, xmax, ymin, ymax, zmin, zmax;
     463                 :            :   std::vector< tk::real > outpdf;
     464                 :            :   std::array< tk::real, 3 > binsize;
     465                 :            :   std::array< long, 2*TriPDF::dim > ext;
     466         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, nbiz, xmin, xmax, ymin, ymax, zmin, zmax,
     467                 :            :            binsize, ext, outpdf, centering );
     468                 :            : 
     469                 :            :   // Output metadata. The #s are unnecessary, but vi will color it differently.
     470                 :            :   m_outFile << "$Comments\n"
     471                 :            :             << "# vim: filetype=sh:\n#\n"
     472                 :          0 :             << "# Joint trivariate PDF: " << name << '(' << vars[0] << ','
     473                 :          0 :             << vars[1] << ',' << vars[2] << ")\n"
     474                 :            :             << "# -----------------------------------------------\n"
     475 [ -  - ][ -  - ]:          0 :             << "# Numeric precision: " << m_outFile.precision() << '\n'
         [ -  - ][ -  - ]
                 [ -  - ]
     476 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << ", "
                 [ -  - ]
     477         [ -  - ]:          0 :             << binsize[2] << '\n'
     478 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     479 [ -  - ][ -  - ]:          0 :             << ext[3] - ext[2] + 1 << " x " << ext[5] - ext[4] + 1 << '\n'
     480 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << " x "
                 [ -  - ]
     481                 :            :             << nbiz << '\n'
     482 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax << "], ["
         [ -  - ][ -  - ]
     483 [ -  - ][ -  - ]:          0 :             << ymin << " : " << ymax << "], [" << zmin << " : " << zmax << "]\n"
                 [ -  - ]
     484 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     485         [ -  - ]:          0 :             << "# Physical time: " << time << "\n#\n"
     486         [ -  - ]:          0 :             << "$EndComments\n";
     487                 :            : 
     488                 :            :   // Output mesh header: mesh version, file type, data size
     489         [ -  - ]:          0 :   m_outFile << "$MeshFormat\n2.2 0 8\n$EndMeshFormat\n";
     490 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     491                 :            : 
     492                 :            :   // Output grid points of discretized sample space (3D Cartesian grid)
     493         [ -  - ]:          0 :   m_outFile << "$Nodes\n" << (nbix+1)*(nbiy+1)*(nbiz+1) << std::endl;
     494                 :            :   int l=0;
     495         [ -  - ]:          0 :   for (std::size_t k=0; k<=nbiz; k++) {
     496                 :          0 :     tk::real K = static_cast< tk::real >( k );
     497                 :          0 :     tk::real z = zmin + K*binsize[2];
     498         [ -  - ]:          0 :     for (std::size_t j=0; j<=nbiy; j++) {
     499                 :          0 :       tk::real J = static_cast< tk::real >( j );
     500                 :          0 :       tk::real y = ymin + J*binsize[1];
     501         [ -  - ]:          0 :       for (std::size_t i=0; i<=nbix; i++) {
     502                 :          0 :         tk::real I = static_cast< tk::real >( i );
     503                 :          0 :         tk::real x = xmin + I*binsize[0];
     504 [ -  - ][ -  - ]:          0 :         m_outFile << ++l << ' ' << x << ' ' << y << ' ' << z << '\n';
         [ -  - ][ -  - ]
     505                 :            :       }
     506                 :            :     }
     507                 :            :   }
     508         [ -  - ]:          0 :   m_outFile << "$EndNodes\n";
     509                 :            : 
     510                 :            :   // Output elements of discretized sample space (3D Cartesian grid)
     511 [ -  - ][ -  - ]:          0 :   m_outFile << "$Elements\n" << nbix*nbiy*nbiz << "\n";
     512                 :          0 :   const auto n = nbix*nbiy;
     513                 :          0 :   const auto p = (nbix+1)*(nbiy+1);
     514         [ -  - ]:          0 :   for (std::size_t i=0; i<nbix*nbiy*nbiz; ++i) {
     515                 :          0 :     const auto y = i/nbix + i/n*(nbix+1);
     516 [ -  - ][ -  - ]:          0 :     m_outFile << i+1 << " 5 2 1 1 " << i+y+1 << ' ' << i+y+2 << ' '
                 [ -  - ]
     517 [ -  - ][ -  - ]:          0 :               << i+y+nbix+3 << ' ' << i+y+nbix+2 << ' '
     518 [ -  - ][ -  - ]:          0 :               << i+y+p+1 << ' ' << i+y+p+2 << ' '
     519 [ -  - ][ -  - ]:          0 :               << i+y+p+nbix+3 << ' ' << i+y+p+nbix+2 << ' '
                 [ -  - ]
     520                 :            :               << std::endl;
     521                 :            :   }
     522         [ -  - ]:          0 :   m_outFile << "$EndElements\n";
     523                 :            : 
     524                 :            :   // Output PDF function values in element or node centers
     525 [ -  - ][ -  - ]:          0 :   std::string c( "Element" );
     526         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
     527         [ -  - ]:          0 :     ++nbix; ++nbiy; ++nbiz;
     528                 :            :     c = "Node";
     529                 :            :   }
     530         [ -  - ]:          0 :   m_outFile << '$' << c << "Data\n1\n\"" << name << "\"\n1\n0.0\n3\n0\n1\n"
     531 [ -  - ][ -  - ]:          0 :             << nbix*nbiy*nbiz << "\n";
     532                 :            : 
     533                 :            :   // If no user-specified sample space extents, output pdf map directly
     534         [ -  - ]:          0 :   if (uext.empty()) {
     535                 :            : 
     536 [ -  - ][ -  - ]:          0 :     std::vector< int > out( nbix*nbiy*nbiz, 0 ); // indicate bins filled
     537         [ -  - ]:          0 :     for (const auto& q : pdf.map()) {
     538                 :          0 :       const auto bin = (q.first[2] - ext[4]) * static_cast<long>(nbix*nbiy) +
     539                 :          0 :                        (q.first[1] - ext[2]) * static_cast<long>(nbix) +
     540                 :          0 :                        (q.first[0] - ext[0]) % static_cast<long>(nbix);
     541                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeGmshTxt()." );
     542                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy*nbiz,
     543                 :            :               "Bin overflow in PDFWriter::writeGmshTxt()." );
     544         [ -  - ]:          0 :       out[ static_cast<std::size_t>(bin) ] = 1 ;
     545         [ -  - ]:          0 :       m_outFile << bin+1 << '\t'
     546                 :          0 :                 << q.second / binsize[0] / binsize[1] / binsize[2]
     547         [ -  - ]:          0 :                             / static_cast<tk::real>(pdf.nsample())
     548                 :            :                 << std::endl;
     549                 :            :     }
     550                 :            :     // Output bins nonexistent in PDF (gmsh sometimes fails to plot the exiting
     551                 :            :     // bins if holes exist in the data, it also looks better as zero than holes)
     552         [ -  - ]:          0 :     for (std::size_t i=0; i<out.size(); ++i)
     553 [ -  - ][ -  - ]:          0 :       if (out[i] == 0) m_outFile << i+1 << "\t0" << std::endl;
     554                 :            : 
     555                 :            :   } else { // If user-specified sample space extents, output outpdf array
     556                 :            : 
     557                 :            :     std::size_t bin = 0;
     558 [ -  - ][ -  - ]:          0 :     for (const auto& q : outpdf) m_outFile << ++bin << ' ' << q << std::endl;
                 [ -  - ]
     559                 :            : 
     560                 :            :   }
     561                 :            : 
     562         [ -  - ]:          0 :   m_outFile << "$End" << c << "Data\n";
     563                 :            : 
     564 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     565                 :          0 : }
     566                 :            : 
     567                 :            : void
     568                 :          0 : PDFWriter::writeGmshBin( const BiPDF& pdf,
     569                 :            :                          const tk::ctr::PDFInfo& info,
     570                 :            :                          ctr::PDFCenteringType centering ) const
     571                 :            : // *****************************************************************************
     572                 :            : //  Write out standardized bivariate PDF to Gmsh (binary) format
     573                 :            : //! \param[in] pdf Bivariate PDF
     574                 :            : //! \param[in] info PDF metadata
     575                 :            : //! \param[in] centering Bin centering on sample space mesh
     576                 :            : // *****************************************************************************
     577                 :            : {
     578                 :          0 :   const auto& name = info.name;
     579         [ -  - ]:          0 :   const auto& uext = info.exts;
     580                 :            :   const auto& vars = info.vars;
     581                 :            :   const auto& it = info.it;
     582                 :            :   const auto& time = info.time;
     583                 :            : 
     584                 :            :   assertSampleSpaceDimensions< 2 >( vars );
     585                 :            :   assertSampleSpaceExtents< 2 >( uext );
     586                 :            : 
     587                 :            :   // Query and optionally override number of bins and minima of sample space if
     588                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     589                 :            :   // logically 2D array for output
     590                 :            :   std::size_t nbix, nbiy;
     591                 :            :   tk::real xmin, xmax, ymin, ymax;
     592                 :            :   std::vector< tk::real > outpdf;
     593                 :            :   std::array< tk::real, 2 > binsize;
     594                 :            :   std::array< long, 2*BiPDF::dim > ext;
     595         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, xmin, xmax, ymin, ymax, binsize, ext, outpdf,
     596                 :            :            centering );
     597                 :            : 
     598                 :            :   // Output metadata. The #s are unnecessary, but vi will color it differently.
     599                 :            :   m_outFile << "$Comments\n"
     600                 :            :             << "# vim: filetype=sh:\n"
     601                 :          0 :             << "# Joint bivariate PDF: " << name << '(' << vars[0] << ','
     602                 :          0 :             << vars[1] << ")\n"
     603                 :            :             << "# -----------------------------------------------\n"
     604                 :            :             << "# Numeric precision: 64-bit binary\n"
     605 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << '\n'
         [ -  - ][ -  - ]
                 [ -  - ]
     606 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     607         [ -  - ]:          0 :             << ext[3] - ext[2] + 1 << '\n'
     608 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << '\n'
     609 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax
                 [ -  - ]
     610 [ -  - ][ -  - ]:          0 :             << "], [" << ymin << " : " << ymax << "]\n"
     611 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     612         [ -  - ]:          0 :             << "# Physical time: " << time << "\n#\n"
     613         [ -  - ]:          0 :             << "$EndComments\n";
     614                 :            : 
     615                 :            :   // Output mesh header: mesh version, file type, data size
     616         [ -  - ]:          0 :   m_outFile << "$MeshFormat\n2.2 1 8\n";
     617                 :          0 :   int one = 1;
     618         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast<char*>(&one), sizeof(int) );
     619         [ -  - ]:          0 :   m_outFile << "\n$EndMeshFormat\n";
     620 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     621                 :            : 
     622                 :            :   // Output grid points of discretized sample space (2D Cartesian grid)
     623         [ -  - ]:          0 :   m_outFile << "$Nodes\n" << (nbix+1)*(nbiy+1) << std::endl;
     624                 :          0 :   int k = 0;
     625                 :          0 :   tk::real z = 0.0;
     626         [ -  - ]:          0 :   for (std::size_t i=0; i<=nbiy; i++) {
     627                 :          0 :     tk::real I = static_cast< tk::real >( i );
     628                 :          0 :     tk::real y = ymin + I*binsize[1];
     629         [ -  - ]:          0 :     for (std::size_t j=0; j<=nbix; j++) {
     630                 :          0 :       tk::real J = static_cast< tk::real >( j );
     631                 :          0 :       tk::real x = xmin + J*binsize[0];
     632                 :          0 :       ++k;
     633         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &k ), sizeof(int) );
     634         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &x ), sizeof(tk::real) );
     635         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &y ), sizeof(tk::real) );
     636         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &z ), sizeof(tk::real) );
     637                 :            :     }
     638                 :            :   }
     639         [ -  - ]:          0 :   m_outFile << "\n$EndNodes\n";
     640                 :            : 
     641                 :            :   // Output elements of discretized sample space (2D Cartesian grid)
     642 [ -  - ][ -  - ]:          0 :   m_outFile << "$Elements\n" << nbix*nbiy << "\n";
     643                 :          0 :   int type = 3;                 // gmsh elem type: 4-node quadrangle
     644                 :          0 :   std::size_t n = nbix*nbiy;    // number of elements in (this single) block
     645                 :          0 :   int ntags = 2;                // number of element tags
     646         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &type ), sizeof(int) );
     647         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &n ), sizeof(int) );
     648         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &ntags ), sizeof(int) );
     649         [ -  - ]:          0 :   for (std::size_t i=0; i<n; ++i) {
     650                 :          0 :     const auto y = i/nbix;
     651                 :          0 :     auto id = i+1;
     652                 :          0 :     int tag[2] = { 1, 1 };
     653                 :          0 :     int con[4] = { static_cast< int >( i+y+1 ),
     654                 :          0 :                    static_cast< int >( i+y+2 ),
     655                 :          0 :                    static_cast< int >( i+y+nbix+3 ),
     656                 :          0 :                    static_cast< int >( i+y+nbix+2 ) };
     657         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     658         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( tag ), 2*sizeof(int) );
     659         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( con ), 4*sizeof(int) );
     660                 :            :   }
     661         [ -  - ]:          0 :   m_outFile << "\n$EndElements\n";
     662                 :            : 
     663                 :            :   // Output PDF function values in element or node centers
     664 [ -  - ][ -  - ]:          0 :   std::string c( "Element" );
     665         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
     666         [ -  - ]:          0 :     ++nbix; ++nbiy;
     667                 :            :     c = "Node";
     668                 :            :   }
     669         [ -  - ]:          0 :   m_outFile << '$' << c << "Data\n1\n\"" << name << "\"\n1\n0.0\n3\n0\n1\n"
     670 [ -  - ][ -  - ]:          0 :             << nbix*nbiy << "\n";
     671                 :            : 
     672                 :            :   // If no user-specified sample space extents, output pdf map directly
     673         [ -  - ]:          0 :   if (uext.empty()) {
     674                 :            : 
     675 [ -  - ][ -  - ]:          0 :     std::vector< int > out( nbix*nbiy, 0 ); // indicate bins filled
     676         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
     677                 :          0 :       const auto bin = (p.first[1] - ext[2]) * static_cast<long>(nbix) +
     678                 :          0 :                        (p.first[0] - ext[0]) % static_cast<long>(nbix);
     679                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeGmshBin()." );
     680                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy,
     681                 :            :               "Bin overflow in PDFWriter::writeGmshBin()." );
     682         [ -  - ]:          0 :       out[ static_cast<std::size_t>(bin) ] = 1;
     683                 :          0 :       auto id = static_cast<int>(bin+1);
     684                 :          0 :       tk::real prob = p.second / binsize[0] / binsize[1]
     685                 :          0 :                                / static_cast<tk::real>(pdf.nsample());
     686         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     687         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &prob ), sizeof(tk::real) );
     688                 :            :     }
     689                 :            :     // Output bins nonexistent in PDF (gmsh sometimes fails to plot the exiting
     690                 :            :     // bins if holes exist in the data, it also looks better as zero than holes)
     691                 :          0 :     tk::real prob = 0.0;
     692         [ -  - ]:          0 :     for (std::size_t i=0; i<out.size(); ++i)
     693         [ -  - ]:          0 :       if (out[i] == 0) {
     694                 :          0 :         auto id = static_cast<int>(i+1);
     695         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     696         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &prob ), sizeof(tk::real) );
     697                 :            :       }
     698                 :            : 
     699                 :            :   } else { // If user-specified sample space extents, output outpdf array
     700                 :            : 
     701                 :          0 :     int bin = 0;
     702         [ -  - ]:          0 :     for (auto& p : outpdf) {
     703                 :          0 :       ++bin;
     704         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &bin ), sizeof(int) );
     705         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &p ), sizeof(tk::real) );
     706                 :            :     }
     707                 :            : 
     708                 :            :   }
     709                 :            : 
     710         [ -  - ]:          0 :   m_outFile << "$End" << c << "Data\n";
     711                 :            : 
     712 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     713                 :          0 : }
     714                 :            : 
     715                 :            : void
     716                 :          0 : PDFWriter::writeGmshBin( const TriPDF& pdf,
     717                 :            :                          const tk::ctr::PDFInfo& info,
     718                 :            :                          ctr::PDFCenteringType centering ) const
     719                 :            : // *****************************************************************************
     720                 :            : //  Write out standardized trivariate PDF to Gmsh (binary) format
     721                 :            : //! \param[in] pdf Trivariate PDF
     722                 :            : //! \param[in] info PDF metadata
     723                 :            : //! \param[in] centering Bin centering on sample space mesh
     724                 :            : // *****************************************************************************
     725                 :            : {
     726                 :          0 :   const auto& name = info.name;
     727         [ -  - ]:          0 :   const auto& uext = info.exts;
     728                 :            :   const auto& vars = info.vars;
     729                 :            :   const auto& it = info.it;
     730                 :            :   const auto& time = info.time;
     731                 :            : 
     732                 :            :   assertSampleSpaceDimensions< 3 >( vars );
     733                 :            :   assertSampleSpaceExtents< 3 >( uext );
     734                 :            : 
     735                 :            :   // Query and optionally override number of bins and minima of sample space if
     736                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     737                 :            :   // logically 3D array for output
     738                 :            :   std::size_t nbix, nbiy, nbiz;
     739                 :            :   tk::real xmin, xmax, ymin, ymax, zmin, zmax;
     740                 :            :   std::vector< tk::real > outpdf;
     741                 :            :   std::array< tk::real, 3 > binsize;
     742                 :            :   std::array< long, 2*TriPDF::dim > ext;
     743         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, nbiz, xmin, xmax, ymin, ymax, zmin, zmax,
     744                 :            :            binsize, ext, outpdf, centering );
     745                 :            : 
     746                 :            :   // Output metadata. The #s are unnecessary, but vi will color it differently.
     747                 :            :   m_outFile << "$Comments\n"
     748                 :            :             << "# vim: filetype=sh:\n#\n"
     749                 :          0 :             << "# Joint trivariate PDF: " << name << '(' << vars[0] << ','
     750                 :          0 :             << vars[1] << ',' << vars[2] << ")\n"
     751                 :            :             << "# -----------------------------------------------\n"
     752                 :            :             << "# Numeric precision: 64-bit binary\n"
     753 [ -  - ][ -  - ]:          0 :             << "# Bin sizes: " << binsize[0] << ", " << binsize[1] << ", "
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     754         [ -  - ]:          0 :             << binsize[2] << '\n'
     755 [ -  - ][ -  - ]:          0 :             << "# Number of bins estimated: " << ext[1] - ext[0] + 1 << " x "
     756 [ -  - ][ -  - ]:          0 :             << ext[3] - ext[2] + 1 << " x " << ext[5] - ext[4] + 1 << '\n'
     757 [ -  - ][ -  - ]:          0 :             << "# Number of bins output: " << nbix << " x " << nbiy << " x "
                 [ -  - ]
     758                 :            :             << nbiz << '\n'
     759 [ -  - ][ -  - ]:          0 :             << "# Sample space extents: [" << xmin << " : " << xmax << "], ["
         [ -  - ][ -  - ]
     760 [ -  - ][ -  - ]:          0 :             << ymin << " : " << ymax << "], [" << zmin << " : " << zmax << "]\n"
                 [ -  - ]
     761 [ -  - ][ -  - ]:          0 :             << "# Iteration: " << it << "\n"
     762         [ -  - ]:          0 :             << "# Physical time: " << time << "\n#\n"
     763         [ -  - ]:          0 :             << "$EndComments\n";
     764                 :            : 
     765                 :            :   // Output mesh header: mesh version, file type, data size
     766         [ -  - ]:          0 :   m_outFile << "$MeshFormat\n2.2 1 8\n";
     767                 :          0 :   int one = 1;
     768         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast<char*>(&one), sizeof(int) );
     769         [ -  - ]:          0 :   m_outFile << "\n$EndMeshFormat\n";
     770 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     771                 :            : 
     772                 :            :   // Output grid points of discretized sample space (3D Cartesian grid)
     773         [ -  - ]:          0 :   m_outFile << "$Nodes\n" << (nbix+1)*(nbiy+1)*(nbiz+1) << std::endl;
     774                 :          0 :   int l=0;
     775         [ -  - ]:          0 :   for (std::size_t k=0; k<=nbiz; k++) {
     776                 :          0 :     tk::real K = static_cast< tk::real >( k );
     777                 :          0 :     tk::real z = zmin + K*binsize[2];
     778         [ -  - ]:          0 :     for (std::size_t j=0; j<=nbiy; j++) {
     779                 :          0 :       tk::real J = static_cast< tk::real >( j );
     780                 :          0 :       tk::real y = ymin + J*binsize[1];
     781         [ -  - ]:          0 :       for (std::size_t i=0; i<=nbix; i++) {
     782                 :          0 :         tk::real I = static_cast< tk::real >( i );
     783                 :          0 :         tk::real x = xmin + I*binsize[0];
     784                 :          0 :         ++l;
     785         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &l ), sizeof(int) );
     786         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &x ), sizeof(tk::real) );
     787         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &y ), sizeof(tk::real) );
     788         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &z ), sizeof(tk::real) );
     789                 :            :       }
     790                 :            :     }
     791                 :            :   }
     792         [ -  - ]:          0 :   m_outFile << "\n$EndNodes\n";
     793                 :            : 
     794                 :            :   // Output elements of discretized sample space (3D Cartesian grid)
     795 [ -  - ][ -  - ]:          0 :   m_outFile << "$Elements\n" << nbix*nbiy*nbiz << "\n";
     796                 :          0 :   int type = 5;                       // gmsh elem type: 8-node hexahedron
     797                 :          0 :   std::size_t nelem = nbix*nbiy*nbiz; // num of elements in (this single) block
     798                 :          0 :   int ntags = 2;                      // number of element tags
     799         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &type ), sizeof(int) );
     800         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &nelem ), sizeof(int) );
     801         [ -  - ]:          0 :   m_outFile.write( reinterpret_cast< char* >( &ntags ), sizeof(int) );
     802                 :          0 :   const auto n = nbix*nbiy;
     803                 :          0 :   const auto p = (nbix+1)*(nbiy+1);
     804         [ -  - ]:          0 :   for (std::size_t i=0; i<nelem; ++i) {
     805                 :          0 :     const auto y = i/nbix + i/n*(nbix+1);
     806                 :          0 :     auto id = i+1;
     807                 :          0 :     int tag[2] = { 1, 1 };
     808                 :          0 :     int con[8] = { static_cast< int >( i+y+1 ),
     809                 :          0 :                    static_cast< int >( i+y+2 ),
     810                 :          0 :                    static_cast< int >( i+y+nbix+3 ),
     811                 :          0 :                    static_cast< int >( i+y+nbix+2 ),
     812                 :          0 :                    static_cast< int >( i+y+p+1 ),
     813                 :          0 :                    static_cast< int >( i+y+p+2 ),
     814                 :          0 :                    static_cast< int >( i+y+p+nbix+3 ),
     815                 :          0 :                    static_cast< int >( i+y+p+nbix+2 ) };
     816         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     817         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( tag ), 2*sizeof(int) );
     818         [ -  - ]:          0 :     m_outFile.write( reinterpret_cast< char* >( con ), 8*sizeof(int) );
     819                 :            :   }
     820         [ -  - ]:          0 :   m_outFile << "\n$EndElements\n";
     821                 :            : 
     822                 :            :   // Output PDF function values in element or node centers
     823 [ -  - ][ -  - ]:          0 :   std::string c( "Element" );
     824         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
     825         [ -  - ]:          0 :     ++nbix; ++nbiy; ++nbiz;
     826                 :            :     c = "Node";
     827                 :            :   }
     828         [ -  - ]:          0 :   m_outFile << '$' << c << "Data\n1\n\"" << name << "\"\n1\n0.0\n3\n0\n1\n"
     829 [ -  - ][ -  - ]:          0 :             << nbix*nbiy*nbiz << "\n";
     830                 :            : 
     831                 :            :   // If no user-specified sample space extents, output pdf map directly
     832         [ -  - ]:          0 :   if (uext.empty()) {
     833                 :            : 
     834 [ -  - ][ -  - ]:          0 :     std::vector< int > out( nbix*nbiy*nbiz, 0 ); // indicate bins filled
     835         [ -  - ]:          0 :     for (const auto& q : pdf.map()) {
     836                 :          0 :       const auto bin = (q.first[2] - ext[4]) * static_cast<long>(nbix*nbiy) +
     837                 :          0 :                        (q.first[1] - ext[2]) * static_cast<long>(nbix) +
     838                 :          0 :                        (q.first[0] - ext[0]) % static_cast<long>(nbix);
     839                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeGmshBin()." );
     840                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy*nbiz,
     841                 :            :               "Bin overflow in PDFWriter::writeGmshBin()." );
     842         [ -  - ]:          0 :       out[ static_cast<std::size_t>(bin) ] = 1;
     843                 :          0 :       auto id = static_cast<int>(bin+1);
     844                 :          0 :       tk::real prob = q.second / binsize[0] / binsize[1] / binsize[2]
     845                 :          0 :                                / static_cast<tk::real>(pdf.nsample());
     846         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     847         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &prob ), sizeof(tk::real) );
     848                 :            :     }
     849                 :            :     // Output bins nonexistent in PDF (gmsh sometimes fails to plot the exiting
     850                 :            :     // bins if holes exist in the data, it also looks better as zero than holes)
     851                 :          0 :     tk::real prob = 0.0;
     852         [ -  - ]:          0 :     for (std::size_t i=0; i<out.size(); ++i)
     853         [ -  - ]:          0 :       if (out[i] == 0) {
     854                 :          0 :         auto id = static_cast<int>(i+1);
     855         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &id ), sizeof(int) );
     856         [ -  - ]:          0 :         m_outFile.write( reinterpret_cast< char* >( &prob ), sizeof(tk::real) );
     857                 :            :       }
     858                 :            : 
     859                 :            :   } else { // If user-specified sample space extents, output outpdf array
     860                 :            : 
     861                 :          0 :     int bin = 0;
     862         [ -  - ]:          0 :     for (auto& q : outpdf) {
     863                 :          0 :       ++bin;
     864         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &bin ), sizeof(int) );
     865         [ -  - ]:          0 :       m_outFile.write( reinterpret_cast< char* >( &q ), sizeof(tk::real) );
     866                 :            :     }
     867                 :            : 
     868                 :            :   }
     869                 :            : 
     870         [ -  - ]:          0 :   m_outFile << "$End" << c << "Data\n";
     871                 :            : 
     872 [ -  - ][ -  - ]:          0 :   ErrChk( !m_outFile.bad(), "Failed to write to file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
     873                 :          0 : }
     874                 :            : 
     875                 :            : void
     876                 :          0 : PDFWriter::writeExodusII( const BiPDF& pdf,
     877                 :            :                           const tk::ctr::PDFInfo& info,
     878                 :            :                           ctr::PDFCenteringType centering ) const
     879                 :            : // *****************************************************************************
     880                 :            : //  Write out standardized bivariate PDF to Exodus II format
     881                 :            : //! \param[in] pdf Bivariate PDF
     882                 :            : //! \param[in] info PDF metadata
     883                 :            : //! \param[in] centering Bin centering on sample space mesh
     884                 :            : // *****************************************************************************
     885                 :            : {
     886                 :          0 :   const auto& name = info.name;
     887         [ -  - ]:          0 :   const auto& uext = info.exts;
     888                 :            :   const auto& vars = info.vars;
     889                 :            : 
     890                 :            :   assertSampleSpaceDimensions< 2 >( vars );
     891                 :            :   assertSampleSpaceExtents< 2 >( uext );
     892                 :            : 
     893                 :            :   // Query and optionally override number of bins and minima of sample space if
     894                 :            :   // user-specified extents were given and copy probabilities from pdf to a
     895                 :            :   // logically 2D array for output
     896                 :            :   std::size_t nbix, nbiy;
     897                 :            :   tk::real xmin, xmax, ymin, ymax;
     898                 :            :   std::vector< tk::real > outpdf;
     899                 :            :   std::array< tk::real, 2 > binsize;
     900                 :            :   std::array< long, 2*BiPDF::dim > ext;
     901         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, xmin, xmax, ymin, ymax, binsize, ext, outpdf,
     902                 :            :            centering );
     903                 :            : 
     904                 :            :   // Create ExodusII file
     905         [ -  - ]:          0 :   int outFile = createExFile();
     906                 :            : 
     907                 :            :   // Compute number of nodes and number of elements in sample space mesh
     908                 :          0 :   std::size_t nelem = nbix*nbiy;
     909                 :          0 :   std::size_t nnode = (nbix+1)*(nbiy+1);
     910                 :            : 
     911                 :            :   // Write ExodusII header
     912         [ -  - ]:          0 :   writeExHdr( outFile, static_cast<int>(nnode), static_cast<int>(nelem) );
     913                 :            : 
     914                 :            :   // Write sample space variables as coordinate names
     915         [ -  - ]:          0 :   char* coordnames[] = { const_cast< char* >( vars[0].c_str() ),
     916                 :            :                          const_cast< char* >( vars[1].c_str() ),
     917                 :          0 :                          const_cast< char* >( "probability" ) };
     918 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_coord_names( outFile, coordnames ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     919                 :            :           "Failed to write coordinate names to file: " + m_filename );
     920                 :            : 
     921                 :            :   // Output grid points of discretized sample space (2D Cartesian grid)
     922 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > x( nnode, 0.0 );
     923 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > y( nnode, 0.0 );
     924 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > z( nnode, 0.0 );
     925                 :            :   std::size_t k = 0;
     926         [ -  - ]:          0 :   for (std::size_t i=0; i<=nbiy; i++)
     927         [ -  - ]:          0 :     for (std::size_t j=0; j<=nbix; j++) {
     928                 :          0 :       x[k] = xmin + static_cast< tk::real >( j )*binsize[0];
     929                 :          0 :       y[k] = ymin + static_cast< tk::real >( i )*binsize[1];
     930                 :          0 :       ++k;
     931                 :            :     }
     932 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_coord( outFile, x.data(), y.data(), z.data() ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     933                 :            :           "Failed to write coordinates to file: " + m_filename );
     934                 :            : 
     935                 :            :   // Output elements of discretized sample space (2D Cartesian grid)
     936                 :            :   // Write element block information
     937 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_block( outFile,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     938                 :            :                         EX_ELEM_BLOCK,
     939                 :            :                         1,
     940                 :            :                         "QUADRANGLES",
     941                 :            :                         static_cast<int64_t>(nelem),
     942                 :            :                         4,
     943                 :            :                         0,
     944                 :            :                         0,
     945                 :            :                         0 ) == 0,
     946                 :            :           "Failed to write QUDARANGLE element block to file: " + m_filename );
     947                 :            :   // Write element connectivity
     948         [ -  - ]:          0 :   for (std::size_t i=0; i<nelem; ++i) {
     949                 :          0 :     auto ye = i/nbix;
     950                 :          0 :     int con[4] = { static_cast< int >( i+ye+1 ),
     951                 :          0 :                    static_cast< int >( i+ye+2 ),
     952                 :          0 :                    static_cast< int >( i+ye+nbix+3 ),
     953                 :          0 :                    static_cast< int >( i+ye+nbix+2 ) };
     954 [ -  - ][ -  - ]:          0 :     ErrChk( ex_put_partial_conn( outFile, EX_ELEM_BLOCK, 1,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     955                 :            :               static_cast<int64_t>(i+1), 1, con, nullptr, nullptr ) == 0,
     956                 :            :       "Failed to write element connectivity to file: " + m_filename );
     957                 :            :   }
     958                 :            : 
     959                 :            :   // Output PDF function values in element or node centers
     960                 :            :   ex_entity_type c = EX_ELEM_BLOCK;
     961         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
     962                 :          0 :     ++nbix; ++nbiy;
     963                 :            :     c = EX_NODE_BLOCK;
     964                 :            :   }
     965                 :            : 
     966                 :            :   // Write PDF function values metadata
     967 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_variable_param( outFile, c, 1 ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     968                 :            :             "Failed to write results metadata to file: " + m_filename );
     969                 :            :   char* probname[1];
     970 [ -  - ][ -  - ]:          0 :   std::string pdfname( name + '(' + vars[0] + ',' + vars[1] + ')' );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     971                 :          0 :   probname[0] = const_cast< char* >( pdfname.c_str() );
     972 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_variable_names( outFile, c, 1, probname ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     973                 :            :             "Failed to write results metadata to file: " + m_filename );
     974                 :            : 
     975                 :            :   // If no user-specified sample space extents, output pdf map directly
     976         [ -  - ]:          0 :   if (uext.empty()) {
     977                 :            : 
     978                 :            :     // Output PDF function values in element centers
     979 [ -  - ][ -  - ]:          0 :     std::vector< tk::real > prob( nbix*nbiy, 0.0 );
     980         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
     981                 :          0 :       const auto bin = (p.first[1] - ext[2]) * static_cast<long>(nbix) +
     982                 :          0 :                        (p.first[0] - ext[0]) % static_cast<long>(nbix);
     983                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeExodusII()." );
     984                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy,
     985                 :            :               "Bin overflow in PDFWriter::writeExodusII()." );
     986                 :          0 :       prob[ static_cast<std::size_t>(bin) ] =
     987                 :          0 :         p.second / binsize[0] / binsize[1]
     988                 :          0 :                  / static_cast<tk::real>(pdf.nsample());
     989                 :            :     }
     990         [ -  - ]:          0 :     writeExVar( outFile, centering, prob );
     991                 :            : 
     992                 :            :   } else { // If user-specified sample space extents, output outpdf array
     993                 :            : 
     994         [ -  - ]:          0 :     writeExVar( outFile, centering, outpdf );
     995                 :            : 
     996                 :            :   }
     997                 :            : 
     998 [ -  - ][ -  - ]:          0 :   ErrChk( ex_close(outFile) == 0, "Failed to close file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
     999                 :          0 : }
    1000                 :            : 
    1001                 :            : void
    1002                 :          0 : PDFWriter::writeExodusII( const TriPDF& pdf,
    1003                 :            :                           const tk::ctr::PDFInfo& info,
    1004                 :            :                           ctr::PDFCenteringType centering ) const
    1005                 :            : // *****************************************************************************
    1006                 :            : //  Write out standardized trivariate PDF to Exodus II format
    1007                 :            : //! \param[in] pdf Trivariate PDF
    1008                 :            : //! \param[in] info PDF metadata
    1009                 :            : //! \param[in] centering Bin centering on sample space mesh
    1010                 :            : // *****************************************************************************
    1011                 :            : {
    1012                 :          0 :   const auto& name = info.name;
    1013         [ -  - ]:          0 :   const auto& uext = info.exts;
    1014                 :            :   const auto& vars = info.vars;
    1015                 :            : 
    1016                 :            :   assertSampleSpaceDimensions< 3 >( vars );
    1017                 :            :   assertSampleSpaceExtents< 3 >( uext );
    1018                 :            : 
    1019                 :            :   // Query and optionally override number of bins and minima of sample space if
    1020                 :            :   // user-specified extents were given and copy probabilities from pdf to a
    1021                 :            :   // logically 3D array for output
    1022                 :            :   std::size_t nbix, nbiy, nbiz;
    1023                 :            :   tk::real xmin, xmax, ymin, ymax, zmin, zmax;
    1024                 :            :   std::vector< tk::real > outpdf;
    1025                 :            :   std::array< tk::real, 3 > binsize;
    1026                 :            :   std::array< long, 2*TriPDF::dim > ext;
    1027         [ -  - ]:          0 :   extents( pdf, uext, nbix, nbiy, nbiz, xmin, xmax, ymin, ymax, zmin, zmax,
    1028                 :            :            binsize, ext, outpdf, centering );
    1029                 :            : 
    1030                 :            :   // Create ExodusII file
    1031         [ -  - ]:          0 :   int outFile = createExFile();
    1032                 :            : 
    1033                 :            :   // Compute number of nodes and number of elements in sample space mesh
    1034                 :          0 :   std::size_t nelem = nbix*nbiy*nbiz;
    1035                 :          0 :   std::size_t nnode = (nbix+1)*(nbiy+1)*(nbiz+1);
    1036                 :            : 
    1037                 :            :   // Write ExodusII header
    1038         [ -  - ]:          0 :   writeExHdr( outFile, static_cast<int>(nnode), static_cast<int>(nelem) );
    1039                 :            : 
    1040                 :            :   // Write sample space variables as coordinate names
    1041         [ -  - ]:          0 :   char* coordnames[] = { const_cast< char* >( vars[0].c_str() ),
    1042                 :            :                          const_cast< char* >( vars[1].c_str() ),
    1043                 :          0 :                          const_cast< char* >( vars[2].c_str() ) };
    1044 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_coord_names( outFile, coordnames ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1045                 :            :           "Failed to write coordinate names to file: " + m_filename );
    1046                 :            : 
    1047                 :            :   // Output grid points of discretized sample space (2D Cartesian grid)
    1048 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > x( nnode, 0.0 );
    1049 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > y( nnode, 0.0 );
    1050 [ -  - ][ -  - ]:          0 :   std::vector< tk::real > z( nnode, 0.0 );
    1051                 :            :   std::size_t l=0;
    1052         [ -  - ]:          0 :   for (std::size_t k=0; k<=nbiz; k++)
    1053         [ -  - ]:          0 :     for (std::size_t i=0; i<=nbiy; i++)
    1054         [ -  - ]:          0 :       for (std::size_t j=0; j<=nbix; j++) {
    1055                 :          0 :         x[l] = xmin + static_cast<tk::real>(j) * binsize[0];
    1056                 :          0 :         y[l] = ymin + static_cast<tk::real>(i) * binsize[1];
    1057                 :          0 :         z[l] = zmin + static_cast<tk::real>(k) * binsize[2];
    1058                 :          0 :         ++l;
    1059                 :            :       }
    1060 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_coord( outFile, x.data(), y.data(), z.data() ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1061                 :            :           "Failed to write coordinates to file: " + m_filename );
    1062                 :            : 
    1063                 :            :   // Output elements of discretized sample space (2D Cartesian grid)
    1064                 :            :   // Write element block information
    1065 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_block( outFile,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1066                 :            :                         EX_ELEM_BLOCK,
    1067                 :            :                         1,
    1068                 :            :                         "HEXAHEDRA",
    1069                 :            :                         static_cast<int64_t>(nelem),
    1070                 :            :                         8,
    1071                 :            :                         0,
    1072                 :            :                         0,
    1073                 :            :                         0 ) == 0,
    1074                 :            :           "Failed to write HEXAHEDRA element block to file: " + m_filename );
    1075                 :            :   // Write element connectivity
    1076                 :          0 :   const auto n = nbix*nbiy;
    1077                 :          0 :   const auto p = (nbix+1)*(nbiy+1);
    1078         [ -  - ]:          0 :   for (std::size_t i=0; i<nelem; ++i) {
    1079                 :          0 :     const auto ye = i/nbix + i/n*(nbix+1);
    1080                 :          0 :     int con[8] = { static_cast< int >( i+ye+1 ),
    1081                 :          0 :                    static_cast< int >( i+ye+2 ),
    1082                 :          0 :                    static_cast< int >( i+ye+nbix+3 ),
    1083                 :          0 :                    static_cast< int >( i+ye+nbix+2 ),
    1084                 :          0 :                    static_cast< int >( i+ye+p+1 ),
    1085                 :          0 :                    static_cast< int >( i+ye+p+2 ),
    1086                 :          0 :                    static_cast< int >( i+ye+p+nbix+3 ),
    1087                 :          0 :                    static_cast< int >( i+ye+p+nbix+2 ) };
    1088 [ -  - ][ -  - ]:          0 :     ErrChk(
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1089                 :            :       ex_put_partial_conn( outFile, EX_ELEM_BLOCK, 1,
    1090                 :            :         static_cast<int64_t>(i+1), 1, con, nullptr, nullptr ) == 0,
    1091                 :            :       "Failed to write element connectivity to file: " + m_filename );
    1092                 :            :   }
    1093                 :            : 
    1094                 :            :   // Output PDF function values in element or node centers
    1095                 :            :   ex_entity_type c = EX_ELEM_BLOCK;
    1096         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE) {
    1097                 :          0 :     ++nbix; ++nbiy; ++nbiz;
    1098                 :            :     c = EX_NODE_BLOCK;
    1099                 :            :   }
    1100                 :            : 
    1101                 :            :   // Write PDF function values metadata
    1102 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_variable_param( outFile, c, 1 ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1103                 :            :             "Failed to write results metadata to file: " + m_filename );
    1104                 :            :   char* probname[1];
    1105 [ -  - ][ -  - ]:          0 :   std::string pdfname( name + '(' + vars[0] + ',' +
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1106 [ -  - ][ -  - ]:          0 :                          vars[1] + ',' + vars[2] + ')' );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1107                 :          0 :   probname[0] = const_cast< char* >( pdfname.c_str() );
    1108 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_variable_names( outFile, c, 1, probname ) == 0,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1109                 :            :             "Failed to write results metadata to file: " + m_filename );
    1110                 :            : 
    1111                 :            :   // If no user-specified sample space extents, output pdf map directly
    1112         [ -  - ]:          0 :   if (uext.empty()) {
    1113                 :            : 
    1114                 :            :     // Output PDF function values in element centers
    1115 [ -  - ][ -  - ]:          0 :     std::vector< tk::real > prob( nbix*nbiy*nbiz, 0.0 );
    1116         [ -  - ]:          0 :     for (const auto& q : pdf.map()) {
    1117                 :          0 :       const auto bin = (q.first[2] - ext[4]) * static_cast<long>(nbix*nbiy) +
    1118                 :          0 :                        (q.first[1] - ext[2]) * static_cast<long>(nbix) +
    1119                 :          0 :                        (q.first[0] - ext[0]) % static_cast<long>(nbix);
    1120                 :            :       Assert( bin >= 0, "Bin underflow in PDFWriter::writeExodusII()." );
    1121                 :            :       Assert( static_cast<std::size_t>(bin) < nbix*nbiy*nbiz,
    1122                 :            :               "Bin overflow in PDFWriter::writeExodusII()." );
    1123                 :          0 :       prob[ static_cast<std::size_t>(bin) ] =
    1124                 :          0 :         q.second / binsize[0] / binsize[1] / binsize[2]
    1125                 :          0 :                  / static_cast<tk::real>(pdf.nsample());
    1126                 :            :     }
    1127         [ -  - ]:          0 :     writeExVar( outFile, centering, prob );
    1128                 :            : 
    1129                 :            :   } else { // If user-specified sample space extents, output outpdf array
    1130                 :            : 
    1131         [ -  - ]:          0 :     writeExVar( outFile, centering, outpdf );
    1132                 :            : 
    1133                 :            :   }
    1134                 :            : 
    1135 [ -  - ][ -  - ]:          0 :   ErrChk( ex_close(outFile) == 0, "Failed to close file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
                 [ -  - ]
    1136                 :          0 : }
    1137                 :            : 
    1138                 :            : int
    1139                 :          0 : PDFWriter::createExFile() const
    1140                 :            : // *****************************************************************************
    1141                 :            : //  Create Exodus II file
    1142                 :            : //! \return ExodusII file handle
    1143                 :            : // *****************************************************************************
    1144                 :            : {
    1145                 :          0 :   int cpuwordsize = sizeof( double );
    1146                 :          0 :   int iowordsize = sizeof( double );
    1147                 :          0 :   int outFileId = ex_create( m_filename.c_str(),
    1148                 :            :                              EX_CLOBBER | EX_NORMAL_MODEL,
    1149                 :            :                              &cpuwordsize,
    1150                 :            :                              &iowordsize );
    1151 [ -  - ][ -  - ]:          0 :   ErrChk( outFileId > 0, "Failed to create file: " + m_filename );
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1152                 :          0 :   return outFileId;
    1153                 :            : }
    1154                 :            : 
    1155                 :            : void
    1156                 :          0 : PDFWriter::writeExHdr( int outFileId, int nnode, int nelem ) const
    1157                 :            : // *****************************************************************************
    1158                 :            : //  Write Exodus II file header
    1159                 :            : //! \param[in] outFileId Output file ExodusII Id
    1160                 :            : //! \param[in] nnode Number of nodes in mesh to write
    1161                 :            : //! \param[in] nelem Number of elements in mesh to write
    1162                 :            : // *****************************************************************************
    1163                 :            : {
    1164 [ -  - ][ -  - ]:          0 :   ErrChk( ex_put_init( outFileId,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1165                 :            :                        "Written by Quinoa",
    1166                 :            :                        3,                     // number of dimensions
    1167                 :            :                        nnode,                 // number of nodes
    1168                 :            :                        nelem,                 // number of elements
    1169                 :            :                        1,                     // number of element blocks
    1170                 :            :                        0,                     // number of node sets
    1171                 :            :                        0 ) == 0,              // number of side sets
    1172                 :            :           "Failed to write header to file: " + m_filename );
    1173                 :          0 : }
    1174                 :            : 
    1175                 :            : void
    1176                 :          0 : PDFWriter::writeExVar( int exoFile,
    1177                 :            :                        ctr::PDFCenteringType centering,
    1178                 :            :                        const std::vector< tk::real >& probability ) const
    1179                 :            : // *****************************************************************************
    1180                 :            : //  Output probability density function as Exodus II results field
    1181                 :            : //! \param[in] exoFile ExodusII file handle to write to
    1182                 :            : //! \param[in] centering Node-, or element-centering to use on sample space mesh
    1183                 :            : //! \param[in] probability Probabilities at each sample space location
    1184                 :            : // *****************************************************************************
    1185                 :            : {
    1186         [ -  - ]:          0 :   if (centering == ctr::PDFCenteringType::NODE)
    1187 [ -  - ][ -  - ]:          0 :     ErrChk( ex_put_var( exoFile,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1188                 :            :                         1,
    1189                 :            :                         EX_NODE_BLOCK,
    1190                 :            :                         1,
    1191                 :            :                         1,
    1192                 :            :                         static_cast<int64_t>(probability.size()),
    1193                 :            :                         probability.data() ) == 0,
    1194                 :            :             "Failed to write node-centered bivariate PDF to file: " +
    1195                 :            :             m_filename );
    1196                 :            :   else
    1197 [ -  - ][ -  - ]:          0 :     ErrChk( ex_put_var( exoFile,
         [ -  - ][ -  - ]
         [ -  - ][ -  - ]
    1198                 :            :                         1,
    1199                 :            :                         EX_ELEM_BLOCK,
    1200                 :            :                         1,
    1201                 :            :                         1,
    1202                 :            :                         static_cast<int64_t>(probability.size()),
    1203                 :            :                         probability.data() ) == 0,
    1204                 :            :             "Failed to write elem-centered bivariate PDF to file: " +
    1205                 :            :             m_filename );
    1206                 :          0 : }
    1207                 :            : 
    1208                 :            : void
    1209                 :        585 : PDFWriter::extents( const UniPDF& pdf,
    1210                 :            :                     const std::vector< tk::real >& uext,
    1211                 :            :                     std::size_t& nbi,
    1212                 :            :                     tk::real& min,
    1213                 :            :                     tk::real& max,
    1214                 :            :                     tk::real& binsize,
    1215                 :            :                     std::array< long, 2*UniPDF::dim >& ext,
    1216                 :            :                     std::vector< tk::real >& outpdf ) const
    1217                 :            : // *****************************************************************************
    1218                 :            : //  Query extents and other metadata of univariate PDF sample space
    1219                 :            : //! \details Query and optionally override number of bins and minimum of sample
    1220                 :            : //!    space if user-specified extents were given and copy probabilities from
    1221                 :            : //!    pdf to an array for output for plotting univariate PDF.
    1222                 :            : //! \param[in] pdf Univariate PDF object
    1223                 :            : //! \param[in] uext User-specified extents of sample space
    1224                 :            : //! \param[inout] nbi Number of bins
    1225                 :            : //! \param[inout] min Minimum value of sample space
    1226                 :            : //! \param[inout] max Maximum value of sample space
    1227                 :            : //! \param[inout] binsize Bin size
    1228                 :            : //! \param[inout] ext Extents of sample space
    1229                 :            : //! \param[inout] outpdf PDF ready to be written out to file
    1230                 :            : // *****************************************************************************
    1231                 :            : {
    1232                 :            :   assertSampleSpaceExtents< 1 >( uext );
    1233                 :            : 
    1234                 :            :   // Query bin size and extents of sample space from PDF
    1235                 :        585 :   binsize = pdf.binsize();
    1236                 :        585 :   ext = pdf.extents();
    1237                 :            : 
    1238                 :            :   // Compute number of bins of sample space (min bins: 1)
    1239                 :            :   Assert( ext[1] >= ext[0], "Wrong extents in PDFWriter::extents" );
    1240                 :        585 :   nbi = static_cast< std::size_t >( ext[1] - ext[0] + 1 );
    1241                 :            : 
    1242                 :            :   // Compute minimum and maximum of sample space
    1243                 :        585 :   min = binsize * static_cast< tk::real >( ext[0] );
    1244         [ -  + ]:        585 :   max = binsize * static_cast< tk::real >( ext[1] );
    1245                 :            : 
    1246                 :            :   // Override number of bins and minimum if user-specified extents were given,
    1247                 :            :   // and copy probabilities from pdf to an array for output
    1248         [ -  + ]:        585 :   if (!uext.empty()) {
    1249                 :            :     // Override number of bins by that based on user-specified extents
    1250                 :            :     Assert( uext[1] >= uext[0],
    1251                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1252                 :          0 :     nbi = static_cast< std::size_t >(
    1253                 :          0 :             std::lround( (uext[1] - uext[0]) / binsize ) );
    1254                 :            :     // Override extents
    1255                 :          0 :     min = uext[0];
    1256                 :          0 :     max = uext[1];
    1257                 :            : 
    1258                 :            :     // Size output pdf to user-requested dimensions to overridden nbi and
    1259                 :            :     // initialize output probabilities to zero
    1260                 :          0 :     outpdf = std::vector< tk::real >( nbi, 0.0 );
    1261                 :            : 
    1262                 :            :     // Fill requested region of pdf to be output from computed pdf
    1263         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
    1264                 :            :       // Compute (i.e., shift) bin indices relative to user-requested extents
    1265                 :          0 :       const auto bin = p.first - std::lround( uext[0] / binsize );
    1266                 :            :       // Only copy probability value if shifted bin indices fall within
    1267                 :            :       // user-requested extents (lower inclusive, upper exclusive)
    1268 [ -  - ][ -  - ]:          0 :       if (bin >= 0 && bin < std::lround( (uext[1] - uext[0]) / binsize )) {
    1269                 :            :         Assert( static_cast<std::size_t>(bin) < nbi,
    1270                 :            :                 "Bin overflow in user-specified-extent-based bin "
    1271                 :            :                 "calculation of univariate PDF extents." );
    1272                 :            :         // Copy normalized probability to output pdf
    1273                 :          0 :         outpdf[ static_cast<std::size_t>(bin) ] =
    1274                 :          0 :           p.second / binsize / static_cast<tk::real>(pdf.nsample());
    1275                 :            :       }
    1276                 :            :     }
    1277                 :            :   }
    1278                 :        585 : }
    1279                 :            : 
    1280                 :            : void
    1281                 :          0 : PDFWriter::extents( const BiPDF& pdf,
    1282                 :            :                     const std::vector< tk::real >& uext,
    1283                 :            :                     std::size_t& nbix,
    1284                 :            :                     std::size_t& nbiy,
    1285                 :            :                     tk::real& xmin,
    1286                 :            :                     tk::real& xmax,
    1287                 :            :                     tk::real& ymin,
    1288                 :            :                     tk::real& ymax,
    1289                 :            :                     std::array< tk::real, BiPDF::dim >& binsize,
    1290                 :            :                     std::array< long, 2*BiPDF::dim >& ext,
    1291                 :            :                     std::vector< tk::real >& outpdf,
    1292                 :            :                     ctr::PDFCenteringType centering ) const
    1293                 :            : // *****************************************************************************
    1294                 :            : //  Query extents and other metadata of bivariate PDF sample space
    1295                 :            : //! \details Query and optionally override number of bins and minima of sample
    1296                 :            : //!    space if user-specified extents were given and copy probabilities from
    1297                 :            : //!    pdf to a logically 2D array for output for plotting bivariate joint PDF.
    1298                 :            : //! \param[in] pdf Bivariate PDF object
    1299                 :            : //! \param[in] uext User-specified extents of sample space
    1300                 :            : //! \param[inout] nbix Number of bins in x dimension
    1301                 :            : //! \param[inout] nbiy Number of bins in y dimension
    1302                 :            : //! \param[inout] xmin Minimum x value of sample space
    1303                 :            : //! \param[inout] xmax Maximum x value of sample space
    1304                 :            : //! \param[inout] ymin Minimum y value of sample space
    1305                 :            : //! \param[inout] ymax Maximum y value of sample space
    1306                 :            : //! \param[inout] binsize Bin size
    1307                 :            : //! \param[inout] ext Extents of sample space
    1308                 :            : //! \param[inout] outpdf PDF ready to be written out to file
    1309                 :            : //! \param[in] centering Bin centering on sample space mesh
    1310                 :            : // *****************************************************************************
    1311                 :            : {
    1312                 :            :   assertSampleSpaceExtents< 2 >( uext );
    1313                 :            : 
    1314                 :            :   // Query bin sizes and extents of sample space from PDF
    1315                 :          0 :   binsize = pdf.binsize();
    1316                 :          0 :   ext = pdf.extents();
    1317                 :            : 
    1318                 :            :   // Compute number of bins in sample space directions (min bins: 1)
    1319                 :            :   Assert( ext[1] >= ext[0], "Wrong extents in PDFWriter::extents" );
    1320                 :            :   Assert( ext[3] >= ext[2], "Wrong extents in PDFWriter::extents" );
    1321                 :          0 :   nbix = static_cast< std::size_t >( ext[1] - ext[0] + 1 );
    1322                 :          0 :   nbiy = static_cast< std::size_t >( ext[3] - ext[2] + 1 );
    1323                 :            : 
    1324                 :            :   // Compute minima and maxima of sample space
    1325                 :          0 :   xmin = binsize[0] * static_cast< tk::real >( ext[0] );
    1326                 :          0 :   xmax = binsize[0] * static_cast< tk::real >( ext[1] );
    1327                 :          0 :   ymin = binsize[1] * static_cast< tk::real >( ext[2] );
    1328         [ -  - ]:          0 :   ymax = binsize[1] * static_cast< tk::real >( ext[3] );
    1329                 :            : 
    1330                 :            :   // Override number of bins and minima if user-specified extents were given,
    1331                 :            :   // and copy probabilities from pdf to a logically 2D array for output
    1332         [ -  - ]:          0 :   if (!uext.empty()) {
    1333                 :            :     // Override number of bins by that based on user-specified extents
    1334                 :            :     Assert( uext[1] >= uext[0],
    1335                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1336                 :            :     Assert( uext[3] >= uext[2],
    1337                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1338                 :          0 :     nbix = static_cast< std::size_t >(
    1339                 :          0 :              std::lround( (uext[1] - uext[0]) / binsize[0] ) );
    1340                 :          0 :     nbiy = static_cast< std::size_t >(
    1341                 :          0 :              std::lround( (uext[3] - uext[2]) / binsize[1] ) );
    1342                 :            :     // Override extents
    1343                 :          0 :     xmin = uext[0];
    1344                 :          0 :     xmax = uext[1];
    1345                 :          0 :     ymin = uext[2];
    1346                 :          0 :     ymax = uext[3];
    1347                 :            : 
    1348                 :            :     // Temporarily increase number of bins if node-centered output required
    1349         [ -  - ]:          0 :     if (centering == ctr::PDFCenteringType::NODE) { ++nbix; ++nbiy; }
    1350                 :            : 
    1351                 :            :     // Size output pdf to user-requested dimensions to overridden nbiy * nbix
    1352                 :            :     // and initialize output probabilities to zero
    1353                 :          0 :     outpdf = std::vector< tk::real >( nbix*nbiy, 0.0 );
    1354                 :            : 
    1355                 :            :     // Fill requested region of pdf to be output from computed pdf
    1356         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
    1357                 :            :       // Compute (i.e., shift) bin indices relative to user-requested extents
    1358                 :          0 :       const auto x = p.first[0] - std::lround( uext[0] / binsize[0] );
    1359                 :          0 :       const auto y = p.first[1] - std::lround( uext[2] / binsize[1] );
    1360                 :            :       // Only copy probability value if shifted bin indices fall within
    1361                 :            :       // user-requested extents (lower inclusive, upper exclusive)
    1362 [ -  - ][ -  - ]:          0 :       if (x >= 0 && x < std::lround( (uext[1] - uext[0]) / binsize[0] ) &&
    1363 [ -  - ][ -  - ]:          0 :           y >= 0 && y < std::lround( (uext[3] - uext[2]) / binsize[1] ))
    1364                 :            :       {
    1365                 :          0 :         const auto bin =
    1366                 :          0 :           static_cast<std::size_t>(y)*nbix + static_cast<std::size_t>(x);
    1367                 :            :         Assert( bin < nbix*nbiy, "Bin overflow in user-specified-extent-based "
    1368                 :            :                 "bin calculation of bivariate PDF." );
    1369                 :            :         // Copy normalized probability to output pdf
    1370                 :          0 :         outpdf[ bin ] = p.second / binsize[0] / binsize[1]
    1371                 :          0 :                                  / static_cast<tk::real>(pdf.nsample());
    1372                 :            :       }
    1373                 :            :     }
    1374                 :            : 
    1375                 :            :     // Revert number of bins if node-centered output required
    1376         [ -  - ]:          0 :     if (centering == ctr::PDFCenteringType::NODE) { --nbix; --nbiy; }
    1377                 :            :   }
    1378                 :          0 : }
    1379                 :            : 
    1380                 :            : void
    1381                 :          0 : PDFWriter::extents( const TriPDF& pdf,
    1382                 :            :                     const std::vector< tk::real >& uext,
    1383                 :            :                     std::size_t& nbix,
    1384                 :            :                     std::size_t& nbiy,
    1385                 :            :                     std::size_t& nbiz,
    1386                 :            :                     tk::real& xmin,
    1387                 :            :                     tk::real& xmax,
    1388                 :            :                     tk::real& ymin,
    1389                 :            :                     tk::real& ymax,
    1390                 :            :                     tk::real& zmin,
    1391                 :            :                     tk::real& zmax,
    1392                 :            :                     std::array< tk::real, TriPDF::dim >& binsize,
    1393                 :            :                     std::array< long, 2*TriPDF::dim >& ext,
    1394                 :            :                     std::vector< tk::real >& outpdf,
    1395                 :            :                     ctr::PDFCenteringType centering ) const
    1396                 :            : // *****************************************************************************
    1397                 :            : //  Query extents and other metadata of trivariate PDF sample space
    1398                 :            : //! \details Query and optionally override number of bins and minima of sample
    1399                 :            : //!   space if user-specified extents were given and copy probabilities from
    1400                 :            : //!   pdf to a logically 3D array for output for plotting trivariate joint PDF.
    1401                 :            : //! \param[in] pdf Trivariate PDF object
    1402                 :            : //! \param[in] uext User-specified extents of sample space
    1403                 :            : //! \param[inout] nbix Number of bins in x dimension
    1404                 :            : //! \param[inout] nbiy Number of bins in y dimension
    1405                 :            : //! \param[inout] nbiz Number of bins in z dimension
    1406                 :            : //! \param[inout] xmin Minimum x value of sample space
    1407                 :            : //! \param[inout] xmax Maximum x value of sample space
    1408                 :            : //! \param[inout] ymin Minimum y value of sample space
    1409                 :            : //! \param[inout] ymax Maximum y value of sample space
    1410                 :            : //! \param[inout] zmin Minimum z value of sample space
    1411                 :            : //! \param[inout] zmax Maximum z value of sample space
    1412                 :            : //! \param[inout] binsize Bin size
    1413                 :            : //! \param[inout] ext Extents of sample space
    1414                 :            : //! \param[inout] outpdf PDF ready to be written out to file
    1415                 :            : //! \param[in] centering Bin centering on sample space mesh
    1416                 :            : // *****************************************************************************
    1417                 :            : {
    1418                 :            :   assertSampleSpaceExtents< 3 >( uext );
    1419                 :            : 
    1420                 :            :   // Query bin sizes and extents of sample space from PDF
    1421                 :          0 :   binsize = pdf.binsize();
    1422                 :          0 :   ext = pdf.extents();
    1423                 :            : 
    1424                 :            :   // Compute number of bins in sample space directions (min bins: 1)
    1425                 :            :   Assert( ext[1] >= ext[0], "Wrong extents in PDFWriter::extents" );
    1426                 :            :   Assert( ext[3] >= ext[2], "Wrong extents in PDFWriter::extents" );
    1427                 :            :   Assert( ext[5] >= ext[4], "Wrong extents in PDFWriter::extents" );
    1428                 :          0 :   nbix = static_cast< std::size_t >( ext[1] - ext[0] + 1 );
    1429                 :          0 :   nbiy = static_cast< std::size_t >( ext[3] - ext[2] + 1 );
    1430                 :          0 :   nbiz = static_cast< std::size_t >( ext[5] - ext[4] + 1 );
    1431                 :            : 
    1432                 :            :   // Compute minima and maxima of sample space
    1433                 :          0 :   xmin = binsize[0] * static_cast< tk::real >( ext[0] );
    1434                 :          0 :   xmax = binsize[0] * static_cast< tk::real >( ext[1] );
    1435                 :          0 :   ymin = binsize[1] * static_cast< tk::real >( ext[2] );
    1436                 :          0 :   ymax = binsize[1] * static_cast< tk::real >( ext[3] );
    1437                 :          0 :   zmin = binsize[2] * static_cast< tk::real >( ext[4] );
    1438         [ -  - ]:          0 :   zmax = binsize[2] * static_cast< tk::real >( ext[5] );
    1439                 :            : 
    1440                 :            :   // Override number of bins and minima if user-specified extents were given,
    1441                 :            :   // and copy probabilities from pdf to a logically 3D array for output
    1442         [ -  - ]:          0 :   if (!uext.empty()) {
    1443                 :            :     // Override number of bins by that based on user-specified extents
    1444                 :            :     Assert( uext[1] >= uext[0],
    1445                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1446                 :            :     Assert( uext[3] >= uext[2],
    1447                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1448                 :            :     Assert( uext[5] >= uext[4],
    1449                 :            :             "Wrong user-defined extents in PDFWriter::extents" );
    1450                 :          0 :     nbix = static_cast< std::size_t >(
    1451                 :          0 :              std::lround( (uext[1] - uext[0]) / binsize[0] ) );
    1452                 :          0 :     nbiy = static_cast< std::size_t >(
    1453                 :          0 :              std::lround( (uext[3] - uext[2]) / binsize[1] ) );
    1454                 :          0 :     nbiz = static_cast< std::size_t >(
    1455                 :          0 :              std::lround( (uext[5] - uext[4]) / binsize[2] ) );
    1456                 :            :     // Override extents
    1457                 :          0 :     xmin = uext[0];
    1458                 :          0 :     xmax = uext[1];
    1459                 :          0 :     ymin = uext[2];
    1460                 :          0 :     ymax = uext[3];
    1461                 :          0 :     zmin = uext[4];
    1462                 :          0 :     zmax = uext[5];
    1463                 :            : 
    1464                 :            :     // Temporarily increase number of bins if node-centered output required
    1465         [ -  - ]:          0 :     if (centering == ctr::PDFCenteringType::NODE) { ++nbix; ++nbiy; ++nbiz; }
    1466                 :            : 
    1467                 :            :     // Size output pdf to user-requested dimensions to overridden nbiz * nbiy *
    1468                 :            :     // nbix and initialize output probabilities to zero
    1469                 :          0 :     outpdf = std::vector< tk::real >( nbiz * nbiy * nbix, 0.0 );
    1470                 :            : 
    1471                 :            :     // Fill requested region of pdf to be output from computed pdf
    1472         [ -  - ]:          0 :     for (const auto& p : pdf.map()) {
    1473                 :            :       // Compute (i.e., shift) bin indices relative to user-requested extents
    1474                 :          0 :       const auto x = p.first[0] - std::lround( uext[0] / binsize[0] );
    1475                 :          0 :       const auto y = p.first[1] - std::lround( uext[2] / binsize[1] );
    1476                 :          0 :       const auto z = p.first[2] - std::lround( uext[4] / binsize[2] );
    1477                 :            :       // Only copy probability value if shifted bin indices fall within
    1478                 :            :       // user-requested extents (lower inclusive, upper exclusive)
    1479 [ -  - ][ -  - ]:          0 :       if (x >= 0 && x < std::lround( (uext[1] - uext[0]) / binsize[0] ) &&
    1480 [ -  - ][ -  - ]:          0 :           y >= 0 && y < std::lround( (uext[3] - uext[2]) / binsize[1] ) &&
    1481 [ -  - ][ -  - ]:          0 :           z >= 0 && z < std::lround( (uext[5] - uext[4]) / binsize[2] ))
    1482                 :            :       {
    1483                 :          0 :         const auto X = static_cast< std::size_t >( x );
    1484                 :          0 :         const auto Y = static_cast< std::size_t >( y );
    1485                 :          0 :         const auto Z = static_cast< std::size_t >( z );
    1486                 :          0 :         const auto bin = nbix*(Z*nbiy + Y) + X;
    1487                 :            :         Assert( bin < nbix*nbiy*nbiz, "Bin overflow in "
    1488                 :            :               "user-specified-extent-based bin calculation of bivariate PDF." );
    1489                 :            :         // Copy normalized probability to output pdf
    1490                 :          0 :         outpdf[ bin ] =
    1491                 :          0 :           p.second / binsize[0] / binsize[1] / binsize[2]
    1492                 :          0 :                    / static_cast<tk::real>(pdf.nsample());
    1493                 :            :       }
    1494                 :            :     }
    1495                 :            : 
    1496                 :            :     // Revert number of bins if node-centered output required
    1497         [ -  - ]:          0 :     if (centering == ctr::PDFCenteringType::NODE) { --nbix; --nbiy; --nbiz; }
    1498                 :            :   }
    1499                 :          0 : }

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